TY - JOUR
T1 - The Factorization Method for a Mixed Scattering Problem from a Bounded Obstacle and an Open Arc
AU - Wu , Qinghua
AU - Zeng , Meilan
AU - Xiong , Wentao
AU - Yan , Guozheng
AU - Guo , Jun
JO - Journal of Computational Mathematics
VL - 3
SP - 384
EP - 402
PY - 2018
DA - 2018/09
SN - 37
DO - http://doi.org/10.4208/jcm.1805-m2017-0151
UR - https://global-sci.org/intro/article_detail/jcm/12729.html
KW - Factorization method, Inverse scattering problem, Mixed scattering, Time-harmonic electromagnetic wave.
AB - <p style="text-align: justify;">In this paper, we consider the scattering problem of time-harmonic electromagnetic
waves from an infinite cylinder having an open arc $Γ$ and a bounded domain $D$ in $\mathbb{R}$<sup>2&nbsp;</sup>as cross
section. We focus on the inverse scattering problem, that is, to reconstruct the shape of $Γ$ and $D$ from the far-field pattern by using the factorization method. Through establishing a
mixed reciprocity relation, we prove that the scatters $Γ$ and $D$ can be uniquely determined
by the far-field pattern. Furthermore, the mathematical basis is given to explain that the
factorization method is feasible to our problem. At the end of this paper, we give some
numerical examples to show the efficaciousness of the algorithms.</p>